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Hyperbolas
Students locate and identify the center, foci, vertices, and asymptotes fo hyperbolas. They graph equations involving asymptotes and hyperbolas. Finally, students determine the equation of a hyperbola with a horizontal transverse axis.
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Limits and Infinity
In this calculus lesson, learners graph functions, identify limits and use the derivative to solve equations with limits. There are 5 questions about limits as x approaches infinity.
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Exponential Functions
With this two-page resource, learners evaluate and graph exponential functions. There are 48 questions using logs and exponents as the parent function.
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Hyperbolas
Students engage in a lesson plan that covers the concepts related to the graphing of hyperbolas looking at topics like foci, center, vertices, and asymptotes. They find multiple different points in the coordinate plain and then plot the...
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Polynomials Functions
High schoolers factor polynomials and linear functions and apply concepts of the fundamental theorem of algebra to solve problems. They graph their solutions and analyze the graph.
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Properties of Exponential Functions
In this algebra learning exercise, students graph exponential equations and use the formula to translate the graph on a coordinate plane. There are 3 word problems.
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Curve Sketching Review Worksheet
In this curve sketching worksheet, students solve 13 short answer and graphing questions. Students find maximums, minimums, critical points, turning points, increasing/decreasing intervals, etc.
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Curve Sketching
In this calculus worksheet, 12th graders answer questions about derivatives, increasing and decreasing functions, relative maximum and minimum and points of inflection. They also sketch the graph of the equation. There are 10 problems...
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Exploring Exponential Models
Explore the difference between exponential growth and decay with this worksheet. Use tables, graphs, and algebraic methods to gain insight. The notion of an asymptote is also introduced.
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Worksheet 9, Rational Functions
In this algebra worksheet, students tell how they would find the domain of a rational function. They find the intercepts of a rational function and graph it. Students test for symmetry, locate the asymptotes and determine where the graph...
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The Number "e"
In this college level mathematics worksheet, students explore the number e and graph functions involving e. The two page worksheet contains thirty-two problems. Answers are included.
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Applications Of Rational Functions
High schoolers engage in a lesson that is about relational functions with the application of methods to real life problem situations. They use the examples found in the lesson for the purpose of practice during guided instruction....
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Rational Functions
In this Algebra II/Pre-calculus learning exercise, students solve and graph rational equations, identifying the intercepts and asymptotes. The six page learning exercise contains nine problems. Answers are not provided.
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Rational Functions
Young scholars evaluate rational functions. In this precalculus lesson, students make observations and define what makes a rational function and what makes a linear function. They use the Ti calculator to visualize the different graphs.
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Hyperbolas
Students find the center, foci, vertices, and asymptotes of hyperbolas. They graph hyperbolas and determine the equation of a hyperbola with a horizontal transverse axis. They derive general coordinates for the foci of a hyperbola with a...
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Building Boxes- Polynimial And Rational Functions
Young scholars investigate the concepts of polynomial and rational functions. They identify the general patterns used to solve problems. The use of real world contexts in the problems helps to promote engagement and understanding of how...
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Extrema on an Interval
Students explore maximum and minimum points, slopes and tangents. In this Pre-Calculus activity, students solve optimization problems and find rates of change.
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Ap Calculus First Semester Exam
In this algebra activity, 12th graders assess their knowledge on logs, functions and derivatives. There are 40 questions on this exam.
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Arithmetic Complex Numbers
Students convert quadratic functions from standard form to vertex form. In this algebra instructional activity, students solve polynomials using synthetic and long division. They derive and apply the remainder theorem and factor theorem.